GeneralMatrixMatrix_MKL.h

/*
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 ********************************************************************************
 *   Content : Eigen bindings to Intel(R) MKL
 *   General matrix-matrix product functionality based on ?GEMM.
 ********************************************************************************
*/

#ifndef EIGEN_GENERAL_MATRIX_MATRIX_MKL_H
#define EIGEN_GENERAL_MATRIX_MATRIX_MKL_H

namespace Eigen { 

namespace internal {

/**********************************************************************
* This file implements general matrix-matrix multiplication using BLAS
* gemm function via partial specialization of
* general_matrix_matrix_product::run(..) method for float, double,
* std::complex<float> and std::complex<double> types
**********************************************************************/

// gemm specialization

#define GEMM_SPECIALIZATION(EIGTYPE, EIGPREFIX, MKLTYPE, MKLPREFIX) \
template< \
  typename Index, \
  int LhsStorageOrder, bool ConjugateLhs, \
  int RhsStorageOrder, bool ConjugateRhs> \
struct general_matrix_matrix_product<Index,EIGTYPE,LhsStorageOrder,ConjugateLhs,EIGTYPE,RhsStorageOrder,ConjugateRhs,ColMajor> \
{ \
static void run(Index rows, Index cols, Index depth, \
  const EIGTYPE* _lhs, Index lhsStride, \
  const EIGTYPE* _rhs, Index rhsStride, \
  EIGTYPE* res, Index resStride, \
  EIGTYPE alpha, \
  level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/, \
  GemmParallelInfo<Index>* /*info = 0*/) \
{ \
  using std::conj; \
\
  char transa, transb; \
  MKL_INT m, n, k, lda, ldb, ldc; \
  const EIGTYPE *a, *b; \
  MKLTYPE alpha_, beta_; \
  MatrixX##EIGPREFIX a_tmp, b_tmp; \
  EIGTYPE myone(1);\
\
/* Set transpose options */ \
  transa = (LhsStorageOrder==RowMajor) ? ((ConjugateLhs) ? 'C' : 'T') : 'N'; \
  transb = (RhsStorageOrder==RowMajor) ? ((ConjugateRhs) ? 'C' : 'T') : 'N'; \
\
/* Set m, n, k */ \
  m = (MKL_INT)rows;  \
  n = (MKL_INT)cols;  \
  k = (MKL_INT)depth; \
\
/* Set alpha_ & beta_ */ \
  assign_scalar_eig2mkl(alpha_, alpha); \
  assign_scalar_eig2mkl(beta_, myone); \
\
/* Set lda, ldb, ldc */ \
  lda = (MKL_INT)lhsStride; \
  ldb = (MKL_INT)rhsStride; \
  ldc = (MKL_INT)resStride; \
\
/* Set a, b, c */ \
  if ((LhsStorageOrder==ColMajor) && (ConjugateLhs)) { \
    Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs,m,k,OuterStride<>(lhsStride)); \
    a_tmp = lhs.conjugate(); \
    a = a_tmp.data(); \
    lda = a_tmp.outerStride(); \
  } else a = _lhs; \
\
  if ((RhsStorageOrder==ColMajor) && (ConjugateRhs)) { \
    Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs,k,n,OuterStride<>(rhsStride)); \
    b_tmp = rhs.conjugate(); \
    b = b_tmp.data(); \
    ldb = b_tmp.outerStride(); \
  } else b = _rhs; \
\
  MKLPREFIX##gemm(&transa, &transb, &m, &n, &k, &alpha_, (const MKLTYPE*)a, &lda, (const MKLTYPE*)b, &ldb, &beta_, (MKLTYPE*)res, &ldc); \
}};

GEMM_SPECIALIZATION(double,   d,  double,        d)
GEMM_SPECIALIZATION(float,    f,  float,         s)
GEMM_SPECIALIZATION(dcomplex, cd, MKL_Complex16, z)
GEMM_SPECIALIZATION(scomplex, cf, MKL_Complex8,  c)

} // end namespase internal

} // end namespace Eigen

#endif // EIGEN_GENERAL_MATRIX_MATRIX_MKL_H